Uniform rational approximation of the odd and even Cauchy transforms

• Published in: Sbornik. Mathematics Vol. 216; no. 2; pp. 239 - 256
• Main Author: Mardvilko, Tatiana Sergeevna
• Format: Journal Article
• Language: English
• Published: 2025

Best uniform rational approximations of the odd and even Cauchy transforms are considered. The results obtained form a basis for finding the weak asymptotics of best uniform rational approximations of the odd extension of the function $x^{\alpha}$, $x\in[0,1]$, to $[-1,1]$ for all $alpha\in(0,+\inft...